Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 24, Problem 24.20P
A particle with charge Q is located at the center of a cube of edge L. In addition, six other identical charged particles q are positioned symmetrically around Q as shown in Figure P23.19. For each of these panicles, q is a negative number. Determine the electric flux through one face of the cube.
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A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis, as shown in Figure P23.35. Show that the electric field at P, a distance y from the rod along its perpendicular bisector, has no x component and is given by E = 2ke λ sin θ0/y.
A Gaussian surface in the form of a hemisphere of radius R = 5.84 cm lies in a uniform electric field of magnitude E = 2.20 N/C. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface.
(a) What is the flux through the base? ______________N · m2/C(b) What is the flux through the curved portion of the surface? _______________N · m2/C
A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis asshown in Figure P23.8. (a) Show that the electric field at P, a distance d from the rodalong its perpendicular bisector, has no x component and is given by E = 2kλ sin θ0/d.(b) What If? Using your result to part (a), show that the field of a rod of infinite lengthis E = 2kλ/d.Figure P23.8
Chapter 24 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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- A total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of the electric field in the center of the ring at point O (Fig. P24.61)? b. What is the magnitude of the electric field at the point A lying on the axis of the ring a distance R from the center O (same length as the radius of the ring)? FIGURE P24.61arrow_forwardAssume the magnitude of the electric field on each face of the cube of edge L = 1.00 m in Figure P23.32 is uniform and the directions of the fields on each face are as indicated. Find (a) the net electric flux through the cube and (b) the net charge inside the cube. (c) Could the net charge he a single point charge? Figure P23.32arrow_forwardFind the net electric flux through (a) the closed spherical surface in a uniform electric field shown in Figure P23.22a and (b) the closed cylindrical surface shown in Figure P23.22b. (c) What can you conclude about the charges, if any, inside the cylindrical surface? Figure P23.22arrow_forward
- Three point charges q1 = 2.0 nC, q2 = 4.0 nC, and q3 = 3.0 nC are placed as shown in Figure P25.26. Find the electric flux through each of the closed Gaussian surfaces C1, C2, C3, and C4. FIGURE P25.26arrow_forwardA solid insulating sphere of radius a = 5.00 cm carries a net positive charge of Q = 3.00 C uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b = 10.0 cm and outer radius c = 15.0 cm as shown in Figure P24.54, having net charge q = 1.00 C Prepare a graph of the magnitude of the electric field due to this configuration versus r for O r 25.0 cm.arrow_forwardThe colored regions in Figure P25.21 represent four three-dimensional Gaussian surfaces A through D. The regions may also contain three charged particles, with qA + +5.00 nC, qB = 5.00 nC, and qC = +8.00 nC, that are nearby as shown. What is the electric flux through each of the four surfaces? FIGURE P25.21arrow_forward
- A uniform electric field given by E=(2.655.35j)105N/C permeates a region of space in which a small negatively charged sphere of mass 1.30 g is suspended by a light cord (Fig. P24.53). The sphere is found to be in equilibrium when the string makes an angle = 23.0. a. What is the charge on the sphere? b. What is the magnitude of the tension in the cord? FIGURE P24.53arrow_forwardA conducting rod carrying a total charge of +9.00 C is bent into a semicircle of radius R = 33.0 cm, with its center of curvature at the origin (Fig.P24.75). The charge density along the rod is given by = 0 sin , where is measured clockwise from the +x axis. What is the magnitude of the electric force on a 1.00-C charged particle placed at the origin?arrow_forwardFigure P23.23 represents the top view of a cubic gaussian surface in a uniform electric field E oriented parallel to the top and bottom faces of the cube. The field makes an angle with side , and the area of each face is A. In symbolic form, find the electric flux through (a) face , (b) face , (c) face , (d) face , and (e) the top and bottom faces of the cube. (f) What is the net electric flux through the cube? (g) How much charge is enclosed within the gaussian surface? Figure P23.23arrow_forward
- A sphere of radius R = 1.00 m surrounds a particle with charge Q = 50.0 C located at its center as shown in Figure P23.43. Find the electric flux through a circular cap of half-angle = 45.0. Figure P23.43arrow_forward(a) Consider a uniformly charged, thin-walled, right circular cylindrical shell having total charge Q, radius R, and length . Determine the electric field at a point a distance d from the right side of the cylinder as shown in Figure P23.9. Suggestion: Use the result of Example 23.2 and treat the cylinder as a collection of ring charges. (b) What If? Consider now a solid cylinder with the same dimensions and carrying the same charge, uniformly distributed through its volume. Use the result of Example 23.3 to find the field it creates at the same point. Figure P23.9arrow_forwardA particle with charge q = 7.20 C is surrounded by a spherical shell of radius R = 1.50 m. What is the electric flux through the spherical cap with half angle = 30.0 (Fig. P25.79)? FIGURE P25.79arrow_forward
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